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The mapping z^-1 → g(z^-1) must map inside the unit circle in the z-plane into __________

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in Digital Signal Processing by (829k points)
The mapping z^-1 → g(z^-1) must map inside the unit circle in the z-plane into __________

(a) Outside the unit circle

(b) On the unit circle

(c) Inside the unit circle

(d) None of the mentioned

I have been asked this question in a job interview.

My question comes from Frequency Transformations in the Digital Domain in division Digital Filters Design of Digital Signal Processing

1 Answer

+1 vote
by (1.4m points)
Right option is (c) Inside the unit circle

Easiest explanation: The map z^-1 → g(z^-1) must map inside the unit circle in the z-plane into itself to apply digital frequency transformation.

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